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Finding the Fourth Proportional to 19,047.42, 28,582.97 and 9,187.70

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Solution

The fourth proportional to 19,047.42, 28,582.97 and 9,187.70 is: 13,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,047.42 : 28,582.97 = 9,187.70 : x
  2. Step 2: Convert to fraction form
    19,047.42/28,582.97 = 9,187.70/x
  3. Step 3: Cross multiply
    19,047.42x = 28,582.97 × 9,187.70
  4. Step 4: Simplify right side
    19,047.42x = 262,611,564.62
  5. Step 5: Solve for x
    x = 262,611,564.62/19,047.42
  6. Step 6: Final answer
    x = 13,787.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.